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Finding the Third Proportional to 38,593.83 and 84,477.66

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Solution

The third proportional to 38,593.83 and 84,477.66 is: 184,912.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,593.83 : 84,477.66 = 84,477.66 : x
  2. Step 2: Convert to fraction form
    38,593.83/84,477.66 = 84,477.66/x
  3. Step 3: Cross multiply
    38,593.83x = 84,477.66 × 84,477.66
  4. Step 4: Simplify right side
    38,593.83x = 7,136,474,405.49
  5. Step 5: Solve for x
    x = 7,136,474,405.49/38,593.83
  6. Step 6: Final answer
    x = 184,912.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.